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Finding the Fourth Proportional to 382.80, 570.36 and 380.40

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Solution

The fourth proportional to 382.80, 570.36 and 380.40 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 570.36 = 380.40 : x
  2. Step 2: Convert to fraction form
    382.80/570.36 = 380.40/x
  3. Step 3: Cross multiply
    382.80x = 570.36 × 380.40
  4. Step 4: Simplify right side
    382.80x = 216,964.94
  5. Step 5: Solve for x
    x = 216,964.94/382.80
  6. Step 6: Final answer
    x = 566.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.